MATH Basic Algebra I  - Unit 22: Rational Expressions

Operations with Rational Expressions

For the following problems, find each product. Assume that no denominator is equal to zero. Please note the following instructions for answers which involve fractions.


Multiplying


1)

Find the product.


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2)

Find the product. 


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3)

Find the product. 


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4)

Find the product.


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5)

Find the product.


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6)

Find the product.


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7)

Find the product.


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8)

Find the product.

Hint:  Factor first and cancel common factors. Leave your answer in factored form.


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Dividing

For the following problems, find each quotient. Assume no denominator is equal to zero.


9)

Find the quotient.

Hint:  Turn the expression on the right over and multiply.


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10)

Find the quotient.


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11)

Find the quotient.


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12)

Find the quotient.


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13)

Find the quotient.


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14)

Find the quotient.


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15)

Find the quotient.


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16)

Find the quotient.


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Adding and Subtracting

For the following problems, find the Least Common Denominator (LCD) for each set of rational expressions. 


17)

Find the LCD. 


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18)

Find the LCD. 


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19) Find the LCD. 

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20)

Find the LCD. 


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21)

Find the LCD. 


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For the following problems, find each sum and/or difference.


22)

Find the sum. 


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23)

Compute. 

Hint:  The LCD is 3m2.


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24)

Find the difference. 


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25)

Find the sum. 


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26)

Find the difference.


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27)

Find the difference. 


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28)

Find the difference. 


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29)

Find the difference. 


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Solving Rational Equations

For the following problems, solve each equation.


30)

Solve for “n.


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31)

Solve for “x.


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32)

Solve for “a.


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33)

Solve for “x.


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34)

Solve for “x.


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35)

Solve for “a.


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